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Finding the Third Proportional to 322,406,732 and 699,551,882

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Solution

The third proportional to 322,406,732 and 699,551,882 is: 1,517,874,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,732 : 699,551,882 = 699,551,882 : x
  2. Step 2: Convert to fraction form
    322,406,732/699,551,882 = 699,551,882/x
  3. Step 3: Cross multiply
    322,406,732x = 699,551,882 × 699,551,882
  4. Step 4: Simplify right side
    322,406,732x = 489,372,835,609,741,952
  5. Step 5: Solve for x
    x = 489,372,835,609,741,952/322,406,732
  6. Step 6: Final answer
    x = 1,517,874,123.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.